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Finding the Third Proportional to 482,272 and 1,047,567

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Solution

The third proportional to 482,272 and 1,047,567 is: 2,275,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    482,272 : 1,047,567 = 1,047,567 : x
  2. Step 2: Convert to fraction form
    482,272/1,047,567 = 1,047,567/x
  3. Step 3: Cross multiply
    482,272x = 1,047,567 × 1,047,567
  4. Step 4: Simplify right side
    482,272x = 1,097,396,619,489
  5. Step 5: Solve for x
    x = 1,097,396,619,489/482,272
  6. Step 6: Final answer
    x = 2,275,472.39

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.